A Circular Inclusion With Circumferentially Inhomogeneous Sliding Interface in Plane ElastostaticsSource: Journal of Applied Mechanics:;1998:;volume( 065 ):;issue: 001::page 30Author:C. Q. Ru
DOI: 10.1115/1.2789042Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A general method is presented to obtain the rigorous solution for a circular inclusion embedded within an infinite matrix with a circumferentially inhomogeneous sliding interface in plane elastostatics. By virtue of analytic continuation, the basic boundary value problem for four analytic functions is reduced to a first-order differential equation for a single analytic function inside the circular inclusion. The finite form solution is obtained that includes a finite number of unknown constants determined by the analyticity of the solution and certain other auxiliary conditions. With this method, the exact values of the average stresses within the circular inclusion can be calculated without solving the full problem. Several specific examples are used to illustrate the method. The effects of the circumferential variation of the interface parameter on the mean stress at the interface and the average stresses within the inclusion are discussed.
keyword(s): Stress , Differential equations , Boundary-value problems AND Functions ,
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contributor author | C. Q. Ru | |
date accessioned | 2017-05-08T23:55:45Z | |
date available | 2017-05-08T23:55:45Z | |
date copyright | March, 1998 | |
date issued | 1998 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-26435#30_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/119970 | |
description abstract | A general method is presented to obtain the rigorous solution for a circular inclusion embedded within an infinite matrix with a circumferentially inhomogeneous sliding interface in plane elastostatics. By virtue of analytic continuation, the basic boundary value problem for four analytic functions is reduced to a first-order differential equation for a single analytic function inside the circular inclusion. The finite form solution is obtained that includes a finite number of unknown constants determined by the analyticity of the solution and certain other auxiliary conditions. With this method, the exact values of the average stresses within the circular inclusion can be calculated without solving the full problem. Several specific examples are used to illustrate the method. The effects of the circumferential variation of the interface parameter on the mean stress at the interface and the average stresses within the inclusion are discussed. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | A Circular Inclusion With Circumferentially Inhomogeneous Sliding Interface in Plane Elastostatics | |
type | Journal Paper | |
journal volume | 65 | |
journal issue | 1 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.2789042 | |
journal fristpage | 30 | |
journal lastpage | 38 | |
identifier eissn | 1528-9036 | |
keywords | Stress | |
keywords | Differential equations | |
keywords | Boundary-value problems AND Functions | |
tree | Journal of Applied Mechanics:;1998:;volume( 065 ):;issue: 001 | |
contenttype | Fulltext |